Translation surfaces in the Galilean space

Scientific paper - Original scientific paper

• Author: Željka Milin Šipuš
• Author: Blaženka Divjak
• Author's institution: University of Zagreb; Faculty of Organization and Informatics; (Department of Quantitative Methods)
• Author's institution: University of Zagreb; Faculty of Science; (Department of Mathematics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract (english)

In this paper we describe, up to a congruence, translation surfaces in the Galilean space having constant Gaussian and mean curvatures as well as translation Weingarten surfaces. It turns out that, contrary to the Euclidean case, there exist translation surfaces with constant Gaussian curvature K that are not cylindrical surfaces, and translation surfaces with constant mean curvature H ≠ 0 that are not ruled..

• Keywords (english): Galilean space; translation surface; Weingarten surface
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review
• Publication version: Published version
• Journal title: Glasnik matematički
• Numbering: vol. 46, no. 2, pp. 455-469
• p-ISSN: 0017-095X
• e-ISSN: 1846-7989
• DOI: https://doi.org/10.3336/gm.46.2.14
• URN:NBN: urn:nbn:hr:211:675428
• Publication: 2011-11-23
• Document URL: http://hrcak.srce.hr/74272
• Type of resource: Text
• Access conditions: Open access
• Created on: 2017-03-08 13:03:01